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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="setfam_1.html#V1">with_non-empty_elements</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be  non <a href="struct_0.html#V3">empty</a> non <a href="ami_1.html#V2">void</a> <a href="ami_1.html#V4">halting</a> <a href="ami_1.html#V5">IC-Ins-separated</a> <a href="ami_1.html#V7">steady-programmed</a> <a href="ami_1.html#V8">definite</a>  <a href="ami_1.html#L1">AMI-Struct</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="ami_1.html#NM4">State</a> of <font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>









<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:67_1"/>
<font color="Maroon">c<sub>3</sub></font> <a href="ami_3.html#R2" target="_self">halts_at</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/><a NAME="E2:67_1"/><b>then </b>
<font color="Maroon">c<sub>3</sub></font> <a href="ami_1.html#K13">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K5">halt</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="ami_3.html#D15" target="_self">Def15</a></i>;<br/><a NAME="E3:67_1"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="ami_1.html#K13">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K5">halt</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="ami_1.html#T54">AMI_1:54</a></i>;<br/><b>hence </b><a NAME="E4:67_1"/>
<span class="p1">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>5</sub></font> <a href="ami_3.html#R2" target="_self">halts_at</a> <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="ami_3.html#D15" target="_self">Def15</a></i>;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E2:67"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="ami_1.html#K11">.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="ami_1.html#K13">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K5">halt</a> <font color="Maroon">c<sub>2</sub></font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_3.html#D15" target="_self">AMI_3:def 15</a><br/>

<b>hence </b><a NAME="E3:67"/>
<font color="Maroon">c<sub>3</sub></font> <a href="ami_1.html#K13">.</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K5">halt</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="ami_1.html#T54">AMI_1:54</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_3.html#D15" target="_self">AMI_3:def 15</a><br/>


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